
"""simple docstring"""


from queue import PriorityQueue
from typing import Any

import numpy as np






def  lowercase						(	lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,):





			for nxt, d in graph[v]:
						if nxt in visited_forward:
									continue
						lowerCamelCase_					=  cst_fwd.get(A_	,np.inf						)
						lowerCamelCase_					=  cst_fwd[v] + d
						if new_cost_f < old_cost_f:
									queue.put((new_cost_f, nxt)						)
									lowerCamelCase_					=  new_cost_f
									lowerCamelCase_					=  v
						if nxt in visited_backward:
									if cst_fwd[v] + d + cst_bwd[nxt] < shortest_distance:
												lowerCamelCase_					=  cst_fwd[v] + d + cst_bwd[nxt]
			return shortest_distance






def  lowercase						(	lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__						):
			lowerCamelCase_					=  -1

			lowerCamelCase_					=  set()
			lowerCamelCase_					=  set()
			lowerCamelCase_					=  {source: 0}
			lowerCamelCase_					=  {destination: 0}
			lowerCamelCase_					=  {source: None}
			lowerCamelCase_					=  {destination: None}
			lowerCamelCase_					=  PriorityQueue()
			lowerCamelCase_					=  PriorityQueue()

			lowerCamelCase_					=  np.inf

			queue_forward.put((0, source)						)
			queue_backward.put((0, destination)						)

			if source == destination:
						return 0

			while not queue_forward.empty() and not queue_backward.empty():
						lowerCamelCase_		, lowerCamelCase_					=  queue_forward.get()
						visited_forward.add(A_						)

						lowerCamelCase_		, lowerCamelCase_					=  queue_backward.get()
						visited_backward.add(A_						)

						lowerCamelCase_					=  pass_and_relaxation(
						    A_	,A_	,A_	,A_	,A_	,A_	,A_	,A_	,A_	,)

						lowerCamelCase_					=  pass_and_relaxation(
						    A_	,A_	,A_	,A_	,A_	,A_	,A_	,A_	,A_	,)

						if cst_fwd[v_fwd] + cst_bwd[v_bwd] >= shortest_distance:
									break

			if shortest_distance != np.inf:
						lowerCamelCase_					=  shortest_distance
			return shortest_path_distance


A_    							=					{
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['G', 2]],
    'F': [],
    'G': [['F', 1]],
}
A_    							=					{
    'B': [['E', 1]],
    'C': [['B', 1]],
    'D': [['C', 1]],
    'F': [['D', 1], ['G', 1]],
    'E': [[None, np.inf]],
    'G': [['E', 2]],
}

if __name__ == "__main__":
						import doctest

						doctest.testmod()





from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors

def a__       (			A_   ):






  '''simple docstring'''





  __magic_name__								=			prime_factors(A_   )
  if is_square_free(A_   ):
    return -1 if len(A_   ) % 2 else 1
  return 0


if __name__ == "__main__":
    import doctest

    doctest.testmod()

